Statistical fluctuations of B (E2)‎ and B (M1)‎ matrix elements in fp- shell nuclei

Abstract EN

The statistical fluctuations and the signature of chaos in the intensities of B(E2) and B(M1) transitions obtained in realistic shell model calculations are studied for all available states of ƒp-shell nuclei with each spin from J = 0 to J= -4.

positive parity, and T = 0.1..

We have chosen a system with mass number .A =60.

i.e.

four nucleons move in the space 0f3,2, Ip3 2 and Ip1 2 orbital with the nucleus 56Ni to be chosen as an inert core.

It is found that the statistical distribution of B(E2)matrix elements are in consistent with porter-Thomas(PT) distribution but the distribution of the B(M1) matrix elements for self conjugate nuclei with T: =0 is different from the PT distribution which is valid only for the easy with T:=1 No dependence on the isobaric quantum number T= has been found for the distributions of the B(E2) transition.

It is also found that the B(M1) distribution have a weak dependence on the transitions nature, i.e.

whether they are of an orbital or a spin nature.